2019-10-14
DOA Estimation for Non-Circular Signal with Nested Array
By
Progress In Electromagnetics Research M, Vol. 86, 39-47, 2019
Abstract
A direction-of-arrival (DOA) estimation algorithm for non-circular signals with nested array is proposed. A closed formula is given to construct a partitioned fourth-order-cumulant (FOC) matrix by using the FOCs of received data. Then, an improved multiple signal classification (MUSIC) algorithm for non-circular signals (NC-MUSIC) based on FOC is introduced. The proposed algorithm shows higher estimation accuracy and angular resolution than some traditional NC-MUSIC algorithms, especially in the low SNR case. Some simulation experiments are proposed to prove the validity of the proposed algorithm.
Citation
Jing Zhao, Sheng Liu, Sihuan Que, Qikui Zou, and Mengmei Ou, "DOA Estimation for Non-Circular Signal with Nested Array," Progress In Electromagnetics Research M, Vol. 86, 39-47, 2019.
doi:10.2528/PIERM19072501
References

1. Zhang, X., X. Gao, G. Feng, and D. Xu, "Blind joint DOA and DOD estimation and identifiability results for MIMO radar with different transmit/receive array manifolds," Progress In Electromagnetics Research B, Vol. 18, 101-119, 2009.
doi:10.2528/PIERB09050603        Google Scholar

2. Katkovnik, V., S. M. Lee, and H. Y. Kim, "Performance study of the minimax robust phased array for wireless communications," IEEE Transactions on Communications, Vol. 54, No. 4, 608-613, 2006.
doi:10.1109/TCOMM.2006.873068        Google Scholar

3. Zhang, X. F., M. Zhou, H. Chen, and F. J. Li, "Two-dimensional DOA estimation for acoustic vector-sensor array using a successive MUSIC," Multidimensional System and Signal Processing, Vol. 25, No. 3, 583-600, 2014.
doi:10.1007/s11045-012-0219-y        Google Scholar

4. Gounon, P., C. Adnet, and J. Galy, "Angular localization for noncircular signals," Traitement du Signal, Vol. 15, No. 1, 17-24, 1998.        Google Scholar

5. Charge, P., Y. Wang, and J. Saillard, "A noncircular sources direction finding method using polynomial rooting," Signal Processing, Vol. 81, No. 8, 1765-1770, 2001.
doi:10.1016/S0165-1684(01)00071-8        Google Scholar

6. Gao, F. F., A. Nallanathan, and D. Y. Wang, "Improved MUSIC under the coexistence of both circular and noncircular sources," IEEE Transactions on Signal Processing, Vol. 56, No. 7, 3033-3038, 2008.
doi:10.1109/TSP.2007.916123        Google Scholar

7. Si, W. J., T. Zhu, and Y. M. Zhang, "DOA estimation in solving mixed circular and non-circular incident signals," Systems Engineering and Electronics, Vol. 34, 882-886, 2012.        Google Scholar

8. Haardt, M. and F. Romer, "Enhancements of unitary ESPRIT for noncircular sources," The Proceeding of 2004 IEEE International Conference on Acoustics, Speech and Signal Processing, Vol. 2, 101-104, Montreal, Quebec, Canada, 2004.        Google Scholar

9. Haardt, M. and A. J. Nossek, "Unitary ESPRIT: How to obtain increased estimation accuracy with a reduced computational burden," IEEE Transaction on Signal Processing, Vol. 43, No. 5, 1232-1242, 1995.
doi:10.1109/78.382406        Google Scholar

10. Liu, J., T. Z. Huang, and Y. Y. Zhou, "Extended propagator method for direction estimation of noncircular signals," Signal Processing, Vol. 24, No. 4, 556-560, 2008.        Google Scholar

11. Liu, Z. X., Y. Li, M. A. Song, and J. Liu, "Extended propagator method for noncircular signals estimation with polynomial rooting," Journal of Air Force Engineering University, Vol. 12, No. 4, 58-63, 2011.        Google Scholar

12. Gan, L., F. J. Gu, and P. Wei, "Estimation of 2-D DOA for noncircular sources using simultaneous SVD technique," IEEE Antennas Wireless and Propagate Letters, Vol. 7, 385-388, 2008.
doi:10.1109/LAWP.2008.2000875        Google Scholar

13. Porat, B. and B. Friedlander, "Direction finding algorithms based on high-order statistics," IEEE Transactions on Signal Processing, Vol. 39, No. 9, 2016-2024, 1991.
doi:10.1109/78.134434        Google Scholar

14. Dogan, M. C. and J. M. Mendel, "Application of cumulants to array processing — Part I: Aperture extension and array calibration," IEEE Transactions on Signal Processing, Vol. 43, No. 5, 1200-1216, 1995.
doi:10.1109/78.382404        Google Scholar

15. Liu, J., T. Z. Huang, and Y. Y.Zhou, "A new forth-order direction finding algorithm for noncircular signals," Journal of Electronics and Information Technology, Vol. 30, 876-880, 2008.        Google Scholar

16. Camps, A. and A. Cardama, "Infantes, D. Synthesis of large low redundancy linear arrays," IEEE Transactions on Antennas and Propagation, Vol. 49, No. 12, 1881-1883, 2001.
doi:10.1109/8.982474        Google Scholar

17. Vaidyanathan, P. P. and P. Pal, "Sparse sensing wth co-prime samplers and arrays," IEEE Transactions on Signal Processing, Vol. 59, No. 2, 573-586, 2010.
doi:10.1109/TSP.2010.2089682        Google Scholar

18. Liu, S., L. Yang, D. Li, H. L. Cao, and Q. P. Jiang, "2D DOA estimation for noncircular sources using L-shaped sparse array," Multidimensional Systems & Signal Processing, Vol. 29, No. 2, 489-502, 2018.
doi:10.1007/s11045-016-0402-7        Google Scholar

19. Iizuka, Y. and K. Ichige, "Extension of nested array for large aperture and high degree of freedom," IEICE Communications Express, Vol. 6, No. 6, 381-386, 2017.
doi:10.1587/comex.2017XBL0031        Google Scholar

20. Yang, M., L. Sun, X. Yuan, and B. X. Chen, "Improved nested array with hole-free DCA and more degrees of freedom," Electronics Letters, Vol. 52, No. 25, 2068-2070, 2016.
doi:10.1049/el.2016.3197        Google Scholar

21. Huang, H., B. Liao, X. Wang, X. S. Guo, and J. Huang, "A new nested array configuration with increased degrees of freedom," IEEE Access, Vol. 6, 1490-1497, 2018.
doi:10.1109/ACCESS.2017.2779171        Google Scholar